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Finding the Third Proportional to 10,941.75 and 15,980.63

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Solution

The third proportional to 10,941.75 and 15,980.63 is: 23,339.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941.75 : 15,980.63 = 15,980.63 : x
  2. Step 2: Convert to fraction form
    10,941.75/15,980.63 = 15,980.63/x
  3. Step 3: Cross multiply
    10,941.75x = 15,980.63 × 15,980.63
  4. Step 4: Simplify right side
    10,941.75x = 255,380,375.39
  5. Step 5: Solve for x
    x = 255,380,375.39/10,941.75
  6. Step 6: Final answer
    x = 23,339.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.